A 2004 Prius with a 150-lb driver and no passengers weighs 3071 lb. The car is initially at rest. Starting at t = 0, a net horizontal force F_x(t) in the +x-direction is applied to the car. The force as a function of time is given in Fig. P8.100.

(a) For the time interval t = 0 to t = 4.50 s, what is the impulse applied to the car?

(b) What is the speed of the car at t = 4.50 s?

(c) At t = 4.50 s, the 3500-N net force is replaced by a constant net braking force Bx = -5200 N. Once the braking force is first applied, how long does it take the car to stop?

(d) How much work must be done on the car by the braking force to stop the car?

(e) What distance does the car travel from the time the braking force is first applied until the car stops? 

Figure P8.100

F, (N) 8000 6000 4000 2000 t (s) 1.00 2.00 3.00 4.00 5.00